Search a number
-
+
232230132031 = 16728144311171
BaseRepresentation
bin1101100001000111111…
…1101001100100111111
3211012102111222000220011
43120101333221210333
512301101403211111
6254403545404051
722530610360342
oct3302177514477
9735374860804
10232230132031
118a540945457
1239011499627
1318b8c735a11
14b3507ac459
156092c6d021
hex3611fe993f

232230132031 has 16 divisors (see below), whose sum is σ = 235002394368. Its totient is φ = 229478267200.

The previous prime is 232230132007. The next prime is 232230132077. The reversal of 232230132031 is 130231032232.

It is a cyclic number.

It is not a de Polignac number, because 232230132031 - 211 = 232230129983 is a prime.

It is a super-2 number, since 2×2322301320312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232230131993 and 232230132011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232230132091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20783076 + ... + 20794246.

It is an arithmetic number, because the mean of its divisors is an integer number (14687649648).

Almost surely, 2232230132031 is an apocalyptic number.

232230132031 is a deficient number, since it is larger than the sum of its proper divisors (2772262337).

232230132031 is a wasteful number, since it uses less digits than its factorization.

232230132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12062.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 232230132031 its reverse (130231032232), we get a palindrome (362461164263).

The spelling of 232230132031 in words is "two hundred thirty-two billion, two hundred thirty million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 167 281 443 11171 46927 73981 124483 1865557 3139051 4948753 20788661 524221517 826441751 1390599593 232230132031